Posted by **Brady** on Friday, February 14, 2014 at 4:55pm.

Why is raising a number to the power of 1/2 the same as finding the square root of the number?

Can someone please help. Please provide examples. I would appreciate it if you guys can help as soon as possible.

- Math -
**Ms. Sue**, Friday, February 14, 2014 at 4:59pm
Patience, child. I've deleted 3 of these duplicate posts in the last few minutes. Do not post this question again for at least 3 hours.

- Math -
**Brady**, Friday, February 14, 2014 at 5:03pm
Sorry, I didn't know that you delete duplicate posts. I have only just started using this site a couple days ago.

- Math -
**Reiny**, Friday, February 14, 2014 at 5:53pm
We know that

(√x)^2 = x , by the very definition of √x

suppose we take x(1/2) and square it

(x^(1/2)^2

by the exponents rules this would be

x( (1/2)(2) )

= x

so (√x)^2 = (x^(1/2) )^2

then √x = x^(1/2)

so x^(1/2) behaves the same way as √x

by the same argument we can show that

x^(1/3) is the same as ∛x

x^(1/4) is the same as ∜x

etc

- Math -
**Brady**, Friday, February 14, 2014 at 5:55pm
Thank you. I appreciate it.

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